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Popular >

y^2=x^2-x

Solution

y^{2} = x^{2} - x

Solution

(h, k) = (\frac{1}{2}, 0), a = \frac{1}{2}, b = \frac{1}{2}

Solution steps

y^{2} = x^{2} - x

Rewrite

y^{2} = x^{2} - x

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{( \frac{1}{2} ) ^{2}} - \frac{( x - \frac{1}{2} ) ^{2}}{( \frac{1}{2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (\frac{1}{2}, 0), a = \frac{1}{2}, b = \frac{1}{2}

Popular Examples

4x^2-y^2+8x-2y+7=0

4 x^{2} - y^{2} + 8 x - 2 y + 7 = 0

x^2+36y-32x-y^2=75

x^{2} + 36 y - 32 x - y^{2} = 75

x^2-y^2+4x-4y-1=0

x^{2} - y^{2} + 4 x - 4 y - 1 = 0

y^{2} = x^{2} + 5

x^2-5y^2-2x+20y=44

x^{2} - 5 y^{2} - 2 x + 20 y = 44

Frequently Asked Questions (FAQ)

What is y^2=x^2-x ?
The solution to y^2=x^2-x is Hyperbola with (h,k)=(1/2 ,0),a= 1/2 ,b= 1/2